Adams accused the midfielder of handling the ball in the box at the end of the game and of persistent fouling while escaping punishment from referee Willie Collum in St Mirren's 2-1 victory.
Goodwin, who is the first Scottish Premiership player to face suspension for six bookings this season, scoffed at the suggestion he receives favouritism from officials,
"I was disappointed when I read Derek's comments," Goodwin said. "For him to suggest I've got some kind of immunity from referees is laughable.
"I pick up far too many bookings. For him to single me out is a bit silly. I've actually got a suspension coming up so that pretty much sums up that one.
"I was disappointed because I walked off the park and shook Derek's hand and there didn't seem to be any bad blood.
"But for him to then go up to the press room and slaughter me publicly like that - saying I go round kicking lumps out of people and intimidating players - is uncalled for.
"I like to think I play the game hard but fair and I expect the same back from my opponents. I don't think it's right for any manager to slag off any member of the opposition.
"You look after your own place and he should look after his. Adams had plenty of time after the game when I went over to shake his hand.
"If he had anything to say to me he should have said it then rather than go out in public. I think it was wrong but we move on from it."